 # a) Explain whether it is possible to use inferential methods for independent sam boitshupoO 2021-10-12 Answered
a) Explain whether it is possible to use inferential methods for independent samples.
b) Explain whether there is enough information to compare the proportions using dependent samples or not.
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a) It is given that $36\mathrm{%}$ of the Americans believe in ghost and $37\mathrm{%}$ believe in astrology among 1,249 Americans.
The assumption for inference of independent samples:
The response variable should be categorical data.
The random samples should be collected independently.
The sample sizes should be large. That is, in each group the number of success points and the number of failure points should be at least 10.
Here the both proportions are calculated from same samples. That is, the both responses are dependent to each other.
Therefore, it is not possible to use independent sample test.
b) For doing the inference of independent samples, there should be two different groups in which the proportion should be known. In other words, it can be said that in each sample it should be known that how many people support astrology and how many people didnt